Low separation rank covariance estimation using Kronecker product expansions

Tsiligkaridis, Theodoros; Hero, Alfred O.

doi:10.1109/isit.2013.6620417

Cited by 10 publications

(5 citation statements)

References 33 publications

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“…Given our focus on the experiences of postdoctoral women specifically, we isolated our analysis to the 146 women in the sample who were currently in a postdoctoral position ( M age = 33.40, SD = 4.45). According to G ∗ Power, this sample size provided us with 92% power to detect medium effect sizes (two-tailed; Faul et al, 2007; Erdfelder et al, 2009). Of this sample, roughly a third (37%) had at least one child.…”

Section: Methodsmentioning

confidence: 99%

A Leak in the Academic Pipeline: Identity and Health Among Postdoctoral Women

et al. 2019

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Several challenges (e.g., sexism, parental leave, the glass ceiling, etc.) disproportionately affect women in academia (and beyond), and thus perpetuate the leaky pipeline metaphor for women who opt-out of an academic career. Although this pattern can be seen at all levels of the academic hierarchy, a critical time for women facing such challenges is during the postdoctoral stage, when personal life transitions and professional ambitions collide. Using a social identity approach, we explore factors affecting the mental health of postdoctoral women, including identity development (e.g., as a mother, a scientist) and lack of control (uncertainty about one’s future personal and professional prospects), which likely contribute to the leak from academia. In this mixed-method research, Study 1 comprised interviews with postdoctoral women in North America ( n = 13) and Europe ( n = 8) across a range disciplines (e.g., psychology, physics, political science). Common themes included the negative impact of career uncertainty, gender-based challenges (especially sexism and maternity leave), and work-life balance on mental and physical health. However, interviewees also described attempts to overcome gender inequality and institutional barriers by drawing on support networks. Study 2 comprised an online survey of postdoctoral women ( N = 146) from a range of countries and academic disciplines to assess the relationships between social identification (e.g., disciplinary, gender, social group), perceived control (i.e., over work and life), and mental health (i.e., depression, anxiety, stress, and life satisfaction). Postdoctoral women showed mild levels of stress and depression, and were only slightly satisfied with life. They also showed only moderate levels of perceived control over one’s life and work. However, hierarchical regression analyses revealed that strongly identifying with one’s discipline was most consistently positively associated with both perceived control and mental health. Collectively, these findings implicate the postdoctoral stage as being stressful and tenuous for women regardless of academic background or nationality. They also highlight the importance of disciplinary identity as a potentially protective factor for mental health that, in turn, may diminish the rate at which postdoctoral women leak from the academic pipeline.

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Section: Methodsmentioning

confidence: 99%

A Leak in the Academic Pipeline: Identity and Health Among Postdoctoral Women

et al. 2019

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“…The minimum number of respondents required was determined by an a priori power analysis (G*Power: Faul, Erdfelder, Lang, & Buchner, 2007). A total minimum sample size of 126 was detected (80% chance) as significant at the 5% level with a small effect size for the between-respondent comparisons.…”

Section: Methodsmentioning

confidence: 99%

Cost and Family Obligation in Everyday Sacrifice to Parents Among European American and Chinese Emerging Adults

Wang

Miller

2019

Cross-Cultural Research

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Cultural studies on sacrifices made by emerging adults have given limited attention to the cost involved. We addressed this issue in studies among U.S. and Chinese emerging adults. Assessing real-life instances of sacrifice, Study 1 ( N = 130) showed that Chinese sacrifice for their parents in a higher cost way than do European Americans. In a vignette-based experiment, Study 2 ( N = 254) demonstrated that family obligation motivates high-cost sacrifice among Chinese emerging adults but not among European American emerging adults. The findings underscore the importance in cultural research of recognizing the distinctive impact of cultural and immigration effects, while highlighting methodological limitations associated with the use of scale measures.

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“…Remark. It is worth noting that the minimized function (16) does not coincide with the EXIP approach, since the weighted matrix Q is not the inverse of the (asymptotic) covariance matrix of vec R − R e given by (13). An EXIP-based procedure could be applicable, but the equivalence between (14) and ( 16) would be lost and would require an alternating optimization scheme to solve the corresponding weighted covariance fitting.…”

Section: B Step 2: Covariance Fittingmentioning

confidence: 99%

“…The problem of covariance estimation with KP structure and potential linearly constrained factors has been widely explored in the Gaussian framework [6]- [10], notably by using the Extended Invariance Principle (EXIP) [11]. Furthermore, other approaches, dealing with high dimensional data, have been proposed in [12], [13].…”

Section: Introductionmentioning

confidence: 99%

Matched and Mismatched Estimation of Kronecker Product of Linearly Structured Scatter Matrices Under Elliptical Distributions

Meriaux

Ren

Breloy

et al. 2021

IEEE Trans. Signal Process.

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The estimation of covariance matrices is a core problem in many modern adaptive signal processing applications. For matrix-and array-valued data, e.g., MIMO communication, EEG/MEG (time versus channel), the covariance matrix of vectorized data may belong to the non-convex set of Kronecker product structure. In addition, the Kronecker factors can also exhibit an additional linear structure. Taking this prior knowledge into account during the estimation process drastically reduces the amount of unknown parameters, and then improves the estimation accuracy. On the other hand, the broad class of complex elliptically symmetric distributions, as well as the related complex angular elliptical distribution, are particularly suited to model heavy-tailed multivariate data. In this context, we first establish novel robust estimators of scatter and shape matrices (both related to a covariance matrix), having a Kronecker product structure with linearly structured Kronecker factors. Then, we conduct a theoretical analysis of their asymptotic performance (i.e., consistency, asymptotic distribution and efficiency), in matched and mismatched scenarios, i.e., when misspecifications between the true and assumed models occur. Finally, numerical results illustrate the theoretical analysis and assess the usefulness of the proposed estimators.

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Low separation rank covariance estimation using Kronecker product expansions

Cited by 10 publications

References 33 publications

A Leak in the Academic Pipeline: Identity and Health Among Postdoctoral Women

A Leak in the Academic Pipeline: Identity and Health Among Postdoctoral Women

Cost and Family Obligation in Everyday Sacrifice to Parents Among European American and Chinese Emerging Adults

Matched and Mismatched Estimation of Kronecker Product of Linearly Structured Scatter Matrices Under Elliptical Distributions

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